EP3050660A1 - Procédé d'usinage de dentures d'une pièce à usiner selon un procédé de laminage diagonal - Google Patents

Procédé d'usinage de dentures d'une pièce à usiner selon un procédé de laminage diagonal Download PDF

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Publication number
EP3050660A1
EP3050660A1 EP15195128.2A EP15195128A EP3050660A1 EP 3050660 A1 EP3050660 A1 EP 3050660A1 EP 15195128 A EP15195128 A EP 15195128A EP 3050660 A1 EP3050660 A1 EP 3050660A1
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EP
European Patent Office
Prior art keywords
tool
modification
workpiece
function
modified
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
EP15195128.2A
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German (de)
English (en)
Other versions
EP3050660B1 (fr
Inventor
Robert Würfel
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Liebherr Verzahntechnik GmbH
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Liebherr Verzahntechnik GmbH
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Publication of EP3050660A1 publication Critical patent/EP3050660A1/fr
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Classifications

    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F23/00—Accessories or equipment combined with or arranged in, or specially designed to form part of, gear-cutting machines
    • B23F23/12—Other devices, e.g. tool holders; Checking devices for controlling workpieces in machines for manufacturing gear teeth
    • B23F23/1225—Arrangements of abrasive wheel dressing devices on gear-cutting machines
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F19/00—Finishing gear teeth by other tools than those used for manufacturing gear teeth
    • B23F19/002—Modifying the theoretical tooth flank form, e.g. crowning
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F21/00—Tools specially adapted for use in machines for manufacturing gear teeth
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F21/00—Tools specially adapted for use in machines for manufacturing gear teeth
    • B23F21/02—Grinding discs; Grinding worms
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
    • B23F5/02—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by grinding
    • B23F5/04—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by grinding the tool being a grinding worm
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
    • B23F5/20—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by milling
    • B23F5/22—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by milling the tool being a hob for making spur gears
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F9/00—Making gears having teeth curved in their longitudinal direction
    • B23F9/02—Making gears having teeth curved in their longitudinal direction by grinding
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02—Toothed members; Worms
    • F16H55/17—Toothed wheels

Definitions

  • the present invention relates to a method for producing a workpiece having a corrected tooth geometry and / or a modified surface structure by a diagonal rolling method by means of a modified tool.
  • the diagonal rolling method may be a diagonal grinding method in which a modified dressable or non-dressable grinding worm is used.
  • a method is known in which a targeted modification of the surface geometry of a tool is generated by the position of the dresser for tool dressing in dependence on the tool rotation angle and / or the tool width position is varied, wherein the modification of the tool a corresponding modification on the surface of the workpiece generated.
  • a modification in particular periodic edge ripples are provided on the active surface of the workpiece.
  • the object of the present invention is to further develop the methods for producing a workpiece with a corrected tooth geometry according to the prior art and / or to expand its field of application.
  • the present invention comprises a method for producing a workpiece having a corrected tooth geometry and / or a modified surface structure by a diagonal rolling method using a modified tool.
  • a targeted modification of the surface geometry of the tool can be generated by the position of the dresser is varied to the tool during dressing in dependence on the tool rotation angle and / or the tool width position.
  • a specific modification of the surface geometry of the tool can be generated, which has a constant value in the rolling image at least locally in a first direction of the tool and in a second direction of the tool, which is perpendicular to the first direction, given by a function F Ft1 is.
  • This modification of the tool produced by the diagonal rolling a corresponding modification on the surface of the workpiece.
  • the targeted modification on the surface of the workpiece is a directed crown without form deviations.
  • the inventor of the present invention has recognized that by a targeted modification of the surface geometry of the tool, a crown on the workpiece can be generated, which not only in two planes has a predetermined setback, but in all end-sectional planes, and therefore in one direction perpendicular has no deviations in shape to the given setting or to the course of the crown.
  • a modification is referred to herein as directed crowning.
  • the directionally convexity which can be generated according to the invention can be free of entanglement or have an entanglement with a freely predetermined direction on the tooth flank.
  • An entanglement-free crowning represents a pure flank line modification without profile modification. This is by the method according to the invention now also on helical gears without deviations in shape, d. H. without a profile modification, can be produced.
  • the direction of entanglement i. H. the direction of the curve of the crown on the tooth flank, chosen so that the lines of constant modification with an angle smaller than 60 ° to the line of engagement of the toothing run.
  • the lines of constant modification with an angle less than 30 °, more advantageously less than 10 ° to this line of action.
  • the lines of constant modification run parallel to the line of engagement of the toothing. This rolls off the gear with its crown on a counter gear.
  • a natural entanglement such as in a generation of a crown by modification of the machine kinematics during the machining process of the workpiece, extending in a predetermined direction crowning.
  • This has the advantage that, instead of the natural entanglement, which usually has an unfavorable direction for the application, a direction of entanglement advantageous for the application is selected.
  • a directional crown according to the present invention means that the modification on the tooth flank has a constant value in a first direction which is perpendicular to the direction of crowning and entanglement, and in a second direction which indicates the direction of crowning of the entanglement is given by a function F Ft2 which defines the shape of the crown. Perpendicular to the second direction, there are no modifications and thus no deviations in form. According to the invention, it is provided that a predetermined direction of crowning is achieved by an appropriate choice of the first or second direction of the modification on the tool and the diagonal ratio. In particular, the first direction of the modification on the tool and the diagonal ratio are chosen such that the first direction is imaged on the tool in a direction perpendicular to the desired direction of crowning on the workpiece.
  • the directional crowning can be generated exclusively via the modification of the tool and without a modification of the machine kinematics during the machining of the workpiece. As a result, undesirable form deviations are avoided, and additionally simplifies the machining process.
  • the crown of the invention may initially have any spherical shape, ie have a high point arranged in a central region, from which it steadily drops towards the sides.
  • the crown may be circular or parabolic or logarithmic or composed of a plurality of circular, parabolic or logarithmic segments.
  • the crowning is defined by the function F Ft2 , which is used to generate the modification on the tool and is transferred to the workpiece with the opposite sign and possibly compressed.
  • the present invention comprises a further method for producing a workpiece having a corrected tooth geometry and / or a modified surface structure by a diagonal rolling method by means of a modified tool.
  • a targeted modification of the surface geometry of the tool is generated by the position of the dresser is varied to the tool during dressing in dependence on the tool rotation angle and / or the tool width position.
  • a specific modification of the surface geometry of the tool can be generated, which has a constant value in the rolling image at least locally in a first direction of the tool and in a second direction of the tool, which is perpendicular to the first direction, given by a function F Ft1 is.
  • the modification of the tool by the diagonal rolling produces a corresponding modification on the surface of the workpiece.
  • the targeted modification represents a pure flank line modification.
  • flank line modifications can be produced by the method according to the invention, even with helical gears.
  • undesired profile modifications such as, for example, an undesirable setback, resulted.
  • the inventor has further recognized that freely definable flank line modifications can be produced by the method according to the invention.
  • flank line modification is freely specified, at least within certain boundary conditions.
  • the flank line modification can be specified as a function F Ft2 , which is generated on the modified tool and then transmitted to the workpiece.
  • the position of the dresser relative to the tool during dressing as a function of the tool rotation angle and / or the tool width position can be varied according to a function F Ft1 .
  • the first or second direction of the modification of the tool and the diagonal ratio is selected so that the first direction is mapped to a frontal sectional plane of the workpiece.
  • the modification of the tool with its first direction, in which it is constant is mapped onto the end-cutting plane of the workpiece, so that there are no profile deviations.
  • the course of the flank line modification is then defined.
  • the present invention comprises a further method for producing a workpiece having a corrected tooth geometry and / or a modified surface structure by a diagonal rolling method by means of a modified tool.
  • a targeted modification of the surface geometry of the tool can be generated by the position of the dresser is varied to the tool during dressing in dependence on the tool rotation angle and / or the tool width position.
  • a specific modification of the surface geometry of the tool can be generated, which has a constant value in the rolling image at least locally in a first direction of the tool and in a second direction of the tool, which is perpendicular to the first direction, given by a function F Ft1 is.
  • the modification of the tool by the diagonal rolling produces a corresponding modification on the Surface of the workpiece.
  • the targeted modification is a final return.
  • targeted end reductions can be generated by the method according to the invention.
  • the end reductions can be generated with a defined direction.
  • a desired direction can be predetermined and a final return in this direction can be generated by appropriate implementation of the method according to the invention.
  • the lines of constant modification can run at an angle of less than 60 ° to the line of engagement of the toothing. More preferably, the lines of constant modification with an angle less than 30 °, further advantageously less than 10 ° to the line of engagement of the toothing. Particularly preferably, the lines of constant modification run parallel to the line of engagement of the toothing. This has the advantage that the gear rolls on the final return.
  • the final return according to the invention may be a triangular withdrawal, in which the lines of constant modification have an angle ⁇ ⁇ 0 with the tooth edge. Also, such a triangular withdrawal allows an improved arrangement of the end return and improved running behavior.
  • the course of the final return perpendicular to the lines of constant modification can initially be arbitrarily specified, wherein the course of a region with which the end return to a modified section or a section with another modification of the toothing, preferably steadily drops outwardly.
  • the course of the final return can be, for example, planar, parabolic, part-circular, logarithmic, exponential or elliptical, or consist of sections of such forms or sections of such forms and transition regions. If transition regions are provided, they preferably provide a tangential transition.
  • the course of the end withdrawal can be planar in a first section perpendicular to the lines of constant modification and can be changed over in a transition region into an unmodified section or a section with another modification.
  • the transition region can provide a tangential transition.
  • a direction of the final return can be predetermined and implemented by the method according to the invention.
  • the first or second direction of the modification of the tool and the diagonal ratio are selected depending on the desired direction of the final return.
  • the first and second direction of the modification of the tool and the diagonal ratio are chosen so that the lines of constant modification are imaged on the tool on the desired lines of constant modification of the final return.
  • different end reductions can be provided on the upper and lower edges of the workpiece.
  • the end reductions at the top and bottom edges may differ in terms of their shape and / or their orientation.
  • end reductions with different progressions of the lines of constant modification can be provided at the top and bottom edges.
  • the lines of constant modification at the upper and lower edges may each have different angles ⁇ 1 or ⁇ 2 with the respective tooth edge.
  • the tool may have at least one modified and one unmodified area.
  • the first end retraction can then be generated, for example, over the modified area, the second end retraction by a change in the machine kinematics during the machining of the workpiece.
  • the tool preferably has at least two regions with different modifications, in particular with modifications with different orientation.
  • modification with different first or second direction can be provided in the two areas.
  • areas with different modifications are used to produce the final return and the top and bottom.
  • the tool may have two modified regions between which an unmodified region lies.
  • the two modified areas are then used to make the end reductions at the top and bottom edges.
  • the diagonal ratio for the first and second modified regions can be chosen differently, so as to set the direction of the end reductions for the top and bottom edges differently. Preference is therefore given to working in at least two areas with different diagonal ratios.
  • the two modified regions, between which an unmodified region lies may alternatively or additionally also have different first or second directions of the modification.
  • the present invention comprises a further method for producing a workpiece having a corrected tooth geometry and / or a modified surface structure by a diagonal rolling method by means of a modified tool.
  • a targeted modification of the surface geometry of the tool can be generated by the position of the dresser is varied to the tool during dressing in dependence on the tool rotation angle and / or the tool width position.
  • a specific modification of the surface geometry of the tool can be generated, which has a constant value in the rolling image at least locally in a first direction of the tool and in a second direction of the tool, which is perpendicular to the first direction, given by a function F Ft1 is.
  • the modification of the tool by the diagonal rolling produces a corresponding modification on the surface of the workpiece.
  • the lines run constant modification on the workpiece with an angle smaller than 60 ° to the line of engagement of the toothing.
  • the method according to the invention preferably allows the specification of the direction of the desired modification, which is then provided by the method according to the invention.
  • the direction of the modification can be chosen such that a favorable rolling behavior results.
  • the lines of constant modification run on the workpiece at an angle of less than 30 °, furthermore advantageously less than 10 ° to the line of engagement of the toothing.
  • the lines of constant modification run parallel to the line of action of the Toothing.
  • the first or second direction of the modification of the tool and the diagonal ratio are selected as a function of the desired direction of the modification or the desired direction of the lines of constant modification on the workpiece.
  • the first or second direction of the modification on the tool and the diagonal ratio are selected such that the lines of constant modification on the tool are imaged onto the desired lines of constant modification on the workpiece.
  • a modification of the surface geometry of the workpiece is preferably produced which has a constant value on the tooth flank in the rolling pattern at least locally in a first direction of the workpiece and in a second direction of the workpiece, which is perpendicular to the first direction a function F Ft2 is given.
  • the function F Ft1 on the tool is preferably the same function, possibly linearly compressed by a factor, as the function F Ft2 on the workpiece.
  • the linear compression can relate to the argument of the function, and / or the size of the function.
  • the sign of the function between the workpiece and the tool changes since raised areas on the tool produce lowered points on the workpiece and vice versa.
  • the factors k and c can be greater or less than 1, depending on the specific boundary conditions.
  • the macrogeometry of the tool and / or the engagement line of the dressing tool and / or the diagonal ratio and / or the compression factor can be selected such that the modification of the tool along a first line on which the contact point in the processing of Workpiece moves on the tool, the desired modification of the workpiece along a second line on which the contact point moves on the workpiece corresponds.
  • the engagement line of the dressing tool and the diagonal ratio can be chosen such that the first direction of the tool is imaged onto the first direction of the workpiece.
  • the dressing of the tool can be flanking or double-sided.
  • a profile roller is used, by means of which the tool is dressed.
  • the dressing of the tooth flank can take place in one or more strokes.
  • the profile roller can be in contact with the tooth of the tool during dressing from the foot area to the head area, so that the modification takes place over the entire tooth height in one stroke.
  • the profile role in dressing only in partial areas between the foot and head are in contact with the tooth of the tool, so that the modification takes place over the tooth height in several strokes.
  • the dressing of the tooth head can be done via a Kopfabrichter.
  • the present invention can also be used with non-dressable tools.
  • the modifications of the tool are not generated during the dressing, but already during the production of the tools.
  • this can be if necessary, a method corresponding to dressing can be used.
  • the present invention is used in dressable tools.
  • the methods according to the invention for producing a workpiece having a corrected tooth geometry and / or a modified surface structure are preferably hobbing methods in which modified grinding wheels are also preferably used.
  • modified grinding wheels are also preferably used.
  • dressable grinding worms are used, which are modified according to the invention.
  • the present invention further includes a gear cutting machine for performing one or more of the above-described methods.
  • the gear cutting machine has an input and / or calculation function via which a modification and / or the orientation of a modification can be predetermined or / or determined.
  • a control function can be provided, which generates the targeted modification in the context of machining a workpiece.
  • the input function preferably permits the input of a desired modification, while the calculation function determines the modifications necessary for the production thereof and / or the changes in the machine kinematics required for generating the modification during the machining process and / or the dressing process.
  • a control function is provided, which changes the machine kinematic during the machining process and / or dressing process accordingly.
  • flank line modification input function Preferably, a pure flank line modification can be specified via this input function.
  • shape of the flank line modification can be freely specified.
  • the end redemption input function preferably allows the specification of at least one end redemption.
  • parameters of the final return can be entered.
  • the direction, the length and / or the height of the final return can be specified.
  • the shape of the final return can be specified, wherein preferably one or more of the following forms for the final return can be provided: planar, parabolic, part-circular, logarithmic, exponential or elliptical.
  • the end-return input function allows the section-by-phase predefinition of the end returns from such forms, and furthermore preferably generates tangential transition regions.
  • the final return input function preferably allows the specification of end reductions at the top and bottom edges.
  • the end return input function allows the specification of different end reductions at the top and bottom.
  • at least the directions and, more preferably, the size and / or length of the end return and more preferably the shape of the end reductions at the top and bottom edge can be entered separately.
  • the respective input functions preferably allow the input of specific parameters which are characteristic of the respectively definable modification.
  • the gear cutting machine has a selection function by which a desired input function can be selected from a selection of at least two of the above-mentioned input functions.
  • the gear cutting machine preferably calculates from the values which are input via the respective input function, the modifications required during the dressing for the production of this modification and / or the diagonal ratio necessary for the machining of the workpiece.
  • the gear cutting machine according to the invention is a gear grinding machine.
  • the gear grinding machine has a tool spindle, a workpiece spindle and / or a spindle for receiving a Abrichters, in particular a dressing wheel, and machine axes necessary for carrying out the method according to the invention relative movements between the workpiece and the tool and / or between the tool and dresser according to the present invention.
  • the present invention further includes a computer system and / or software program for determining the modification of the tool and / or the necessary machining parameters necessary to produce a workpiece having a desired modification in performing one or more of the methods as set forth above.
  • the computer system or software program may include a function for inputting one of the desired modifications, as presented above. Furthermore, it comprises a calculation function which determines from the desired modification of the workpiece the parameters of the machining process of the workpiece required for its production and / or the required modification of the tool and / or the modification of the dressing process of the tool required for providing the modification of the tool.
  • the computer system and / or software program can comprise one of the input and / or calculation functions which have been described in more detail above with regard to the gear cutting machine according to the invention.
  • the computer system and / or software program can have one or more of the abovementioned specific input functions, and / or the selection function described above.
  • the computer system and / or software program has an interface to a gear cutting machine, and / or the software program can be installed on a gear cutting machine, so that the changes in the machine kinematics during the dressing process and / or the parameters of the machining process can be predetermined by the computer system and / or software program and / or determinable.
  • a gear cutting machine as has been shown above, is implemented by the software program according to the invention.
  • the present invention further comprises toothed workpieces, as they can be produced for the first time by the methods described above.
  • the present invention encompasses a toothed workpiece, in particular a toothed wheel, with a spherically modified tooth flank.
  • the crown is there
  • the crown is free of entanglement or has an entanglement whose direction is chosen so that the lines of constant modification with an angle less than 60 °, advantageously less than 30 °, more advantageously less than 10 °, and more preferably parallel to the line of engagement of the toothing.
  • it can be a helically toothed workpiece.
  • the present invention further comprises a helical workpiece, in particular a gear, with a modified tooth flank. It is provided that the modification is a pure flank line modification.
  • the present invention further comprises a toothed workpiece, in particular a gear, with at least one end return.
  • a toothed workpiece in particular a gear
  • the lines of constant modification with an angle less than 60 °, advantageously less than 30 °, more advantageously less than 10 °, more preferably parallel to the line of engagement of the toothing.
  • the present invention further comprises a toothed workpiece, in particular a gear, with at least one end return.
  • the final return is a triangular withdrawal, the lines of constant modification at an angle ⁇ ⁇ 0 with the tooth edge.
  • the present invention further includes a toothed workpiece, in particular gear, in which at the top and bottom edges are provided different end reductions.
  • the end reductions can be oriented in different directions and / or have a different shape, size and / or length.
  • the present invention further comprises a toothed workpiece, in particular a toothed wheel, with a modified tooth flank, wherein the modification in the rolling pattern has a constant value at least locally in a first direction and in a second direction, which is perpendicular to the first direction, by a function F Ft is given.
  • the lines of constant modification with an angle less than 60 °, advantageously less than 30 °, more advantageously less than 10 °, more preferably parallel to the line of engagement of the toothing.
  • the toothed workpieces are designed so that they have the modifications described in more detail above with regard to the method.
  • the toothed workpieces according to the invention are preferably producible by a method according to the invention.
  • the toothed workpieces may each be gears.
  • these are helical gears.
  • involute gears are preferably produced.
  • the modifications specified according to the invention relate to a modification with respect to a given by an involute toothing surface geometry.
  • involute tools which are possibly modified accordingly, are used.
  • the present invention further includes a transmission with one or more of the above-described modified workpieces, in particular one or more inventively modified gears.
  • a transmission with one or more of the above-described modified workpieces, in particular one or more inventively modified gears.
  • it may be a motor vehicle transmission.
  • the engagement line of the workpieces mentioned above in certain aspects is preferably the line with which a gear according to the invention is in contact with another gear of the gear mechanism during unrolling.
  • both dressable and non-dressable tools can be used.
  • the dressing can be done with a profile roll one or two lines, but also one or two lines in line dressing.
  • the machining process is performed using a tool length modified tool, which is moved in the axial direction during the process (diagonal rolling).
  • topological surface modifications is defined, which can be generated by the method first described here.
  • topological surface modifications are described by a function f Ft (w F z F), wherein F w of the rolling path and Z F is the position in the width direction line.
  • flank line modification A previously common method to produce pure flank line modification, is the axial distance between the tool and workpiece, while the workpiece axially is moved, change.
  • this method only provides the desired flank line modification in the case of straight-toothed cylindrical wheels, since only in these does the course of the contact point, also referred to below as the contact path, run between the tool and the workpiece on both flanks in a frontal section plane, and thus does the surface modification caused by the axial distance change in only one face section plane.
  • the contact point also referred to below as the contact path
  • EP1995010 (Faulstich ) is also proposed for Wälzschleifen to apply the Diagonal stiilzschleifen with a freely selectable within wide limits diagonal ratio in conjunction with a matched (hollow) spherical screw.
  • This parameterization makes it possible to calculate simple relationships for the course of the contact point on tool and workpiece. This course is continuously shifted both on the workpiece and on the tool by the axial feed of the workpiece and the shift movement of the tool.
  • the knowledge of these gradients makes it possible to uniquely assign a point on the workpiece to a point on the tool and vice versa. With this assignment, the ratio between axial feed of the workpiece and shift movement of the tool, referred to below as the diagonal ratio, and the surface modification on the tool can be adjusted so that the desired modification is produced on the workpiece.
  • coordinates are used here for generalized, not necessarily independent coordinates.
  • the axis of rotation of a gearing always coincides with the z-axis in its rest system.
  • the calculation of the coordinates A 1 , ..., A N S can be performed by means of a coordinate transformation.
  • H R z ⁇ B 1 ⁇ T z - v V 1 ⁇ R x 90 ° - ⁇ A 1 ⁇ T z - v Z 1 ⁇ T x - v X 1 ⁇ R z ⁇ C 2
  • Example 2 R z ⁇ B 1 ⁇ R x 90 ° - ⁇ A 1 ⁇ T z - v Y 1 ⁇ T z - v Z 1 ⁇ T x - v X 1 ⁇ R z ⁇ C 2
  • FIG. 16 schematically showing a gear cutting by a method described by H Ex 1 musculoskeletal system.
  • the z V 2 coordinate is traversed, thus realizing the feed of the workpiece.
  • this is the axial feed
  • this feed is not axial, but tilted by the cone angle ⁇ 2 with respect to the axis of the toothing.
  • the z V 1 coordinate is additionally moved, which realizes the feed of the tool.
  • this is the Axiavorschub, with conical wheels, this feed is not axial, but tilted by the cone angle ⁇ 1 relative to the axis of the tool.
  • feed is also used for cylindrical tools or workpieces for z V 1 or z V 2 .
  • K Z V 1 is the diagonal ratio and z V 01 a fixed offset, which makes it possible to place the modifications described here at different locations on the tool or to select the area on the screw to be used. If K ZV 1 ⁇ 0 is spoken by the diagonal rolling process.
  • the four possible combinations of cylindrical or conical tools and workpieces are considered separately.
  • the starting point is in each case the mathematical description of the course of the contact point on the tool and workpiece during generating grinding as a relation between the rolling path (w) and the position in the width direction (z) as a function of the feed positions z V 1 and z V 2 .
  • This type of modification is very advantageous especially for dressable grinding worms, since this can be easily produced when dressing with a dressing wheel on the worm.
  • X F 1 defines the position of the line on the worm. While the screw is trued along its length, X F 1 changes accordingly. If corrections of the relative position between the worm and the dressing wheel are made during the dressing process, then modifications can be applied to the worm. These corrections always affect the current touch line.
  • the calculation of the coordinates B 1 , ..., B N A can be performed by means of a coordinate transformation.
  • H BBSP 1 R z - ⁇ B 1 ⁇ T z - v V 1 ⁇ R x - ⁇ A 1 ⁇ T x - v X 1 ⁇ T y - v Z 1 ⁇ R y ⁇ C 5 ⁇ R z ⁇ B 3
  • H BBSP 2 R z - ⁇ B 1 ⁇ T z - v V 1 ⁇ R x - ⁇ A 1 ⁇ T x - v X 1 ⁇ T y v Z 1 ⁇ R z ⁇ B 3
  • the corrections of the relative position can be chosen so that are applied independently of each other within certain limits any constant modifications f tl 1 and f tr 1 along the current lines of contact left and right.
  • This, within certain limits, free choice of modifications on the left and right flank is due to the fact that the above-described corrections of the relative position do not all affect the left and right flanks as it were.
  • a change in the center distance leads to a modification on the left and right flank with the same sign, in the case of a symmetrical cylindrical screw also with the same amount.
  • a change in the angle of rotation of the worm leads to a modification on the left and right flank with different signs, in the case of a symmetrical cylindrical worm with the same amount.
  • the axial distance and angle of rotation of the screw can be adjusted so that the desired modifications f tl 1 and f tr 1 are achieved along the current contact line.
  • Equation (19) thus has to be dependent on ⁇ B 1 , ..., ⁇ B N for the dressing of modified screws A to be extended:
  • X F 1 X F 1 z S . ⁇ B 1 . ... . ⁇ B N A
  • screws are required which have a modification as described in equation (1), the direction ⁇ F being predetermined by the direction of the contact line during dressing ⁇ F 1 .
  • the function F Ft 1 is within certain limits a freely definable continuous function.
  • the above-defined modifications f tl 1 and f tr 1 describe a constant modification along the direction defined by ⁇ F 1 at a certain position of the contact line X F 1 and thus correspond exactly to the functions F tl1 ( X l 1 ) and F tr 1 ( X r 1 ) for left and right flank.
  • the positions of the contact line X F 1 can be calculated for the given axial position of the screw z. Equation (20) can then be used to obtain the required corrections of the coordinates ⁇ B 1 ,..., ⁇ B N A determine. This calculation is carried out for all z S necessary to cover the part of the worm to be dressed with the left and right flank contact lines.
  • C Fw 1 , C Fc 1 , C Fw 2 and C Fc 2 introduced here have the following dependencies:
  • C fw 1 C fw 1 ⁇ bF 1
  • C Fc 1 C Fc 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇
  • C fw 2 C fw 2 ⁇ bF 2
  • C Fc 2 C Fc 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇
  • Equation (2) for screw and workpiece used to z F 1 and z to eliminate F 2 and with equation (32) w F 1 replaced.
  • C ⁇ Fc + C ⁇ fw 2 ⁇ w F 2 0 . which must apply to all w F 2 .
  • Fw 2 has a dependence on K Z V 1 ⁇ C Fc, on the other hand, additionally has a dependence on X F 1 and X F 2 .
  • K Z V 1 calculate both left and right flank, and X F 2 as a function of X F 1 , also for left and right flank.
  • K Z V 1 As defined in Equation (12), the diagonal ratio with which the machining process must be performed so that the mapping of the points on the screw to the points on the workpiece along the direction defined by ⁇ F 2 determines.
  • a one-flank deviation-free generating grinding is possible, however, for the processing of the left and right flanks different diagonal K Z V 1 are to be adjusted. Is there a diagonal ratio K Z V 1 so that the generated modification on the left and right flank is still within the respective tolerance during generating grinding with this, a two-sided, but no longer deviating free generating grinding is still possible.
  • the diagonal ratio to be chosen for this is usually between the diagonal ratios determined for the left and right flanks.
  • the direction ⁇ F 2 of the modification produced on the workpiece deviates from the target specification on at least one of the two edges. However, if this target specification is tolerated, then it is possible in certain cases to choose the diagonal ratio such that both directions ⁇ F 2 are within the tolerance.
  • C Fz V 12 and C Fc 2 have the following dependencies:
  • C fw 1 C fw 1 ⁇ bF 1
  • C Fc 1 C Fc 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇ ⁇ 1
  • C fw 2 C fw 2 ⁇ bF 2
  • C Fc 2 C Fc 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇ ⁇ 1
  • C Fz V 1 1 C Fz V 1 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇ ⁇ 1
  • C Fz V 1 2 C Fz V 1 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇ ⁇ 1
  • C Fz V 1 2 C Fz V 1 2 ⁇ bF 1 ⁇ bF 2 r
  • a change of ⁇ 1 generally requires a change in the base circle radii and the base taper angle of the worm, so that the worm and the workpiece continue to mesh with each other, and so on can form a ringmélzgetriebe.
  • ⁇ 1 and thus also the base circle radii and the base skew angle are changed, this change affects K Z V 1 different on left and right flank. This different influence makes it possible to determine a ⁇ 1 such that K z V 1 are equal for left and right flank.
  • the profile angles of the rack generating the worm and the axis cross angle ⁇ also influence the value K Z for conical worms V 1 ,
  • these quantities can be varied to the same K Z V 1 to get left and right flank.
  • This change in the profile angle also leads to a change in the base circle radii and the base angle of the worm.
  • C Fw 1 , C Fc 1 , C Fw 2 , C Fz V 22 , C Fz V2 1 and C Fc 2 have the following dependencies:
  • C fw 1 C fw 1 ⁇ bF 1
  • C Fc 1 C Fc 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇ ⁇ 2
  • C fw 2 C fw 2 ⁇ bF 2
  • C Fc 2 C Fc 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇ ⁇ 2
  • C Fz V 2 2 C Fz V 2 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇ ⁇ 2
  • C Fz V 2 1 C Fz V 2 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇ ⁇ 2
  • C Fw 1 , C Fc 1 , C Fw 2 , C Fz V 22 , C Fz V 21 , C Fz V 12 , C Fz V 11 and C Fc 2 have the following dependencies:
  • C fw 1 C fw 1 ⁇ bF 1
  • C Fc 1 C Fc 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇ ⁇ 1 ⁇ 2
  • C fw 2 C fw 2 ⁇ bF 2
  • C Fc 2 C Fc 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇ ⁇ 1 ⁇ 2
  • C Fz V 2 2 C Fz V 2 2 ⁇ bF 1 ⁇ bF 2 r bF 2 d ⁇ ⁇ 1 ⁇ 2
  • C Fz V 2 1 C Fz V 2 1 ⁇ bF 1 ⁇ bF 2 r bF 1 d ⁇ ⁇ 1 ⁇ 2
  • FIG. 14 shows by way of example the touch of a right involute flank with a generating rack with profile angle ⁇ twr in the end section.
  • the gearing is around the Rotation angle ⁇ turned.
  • the contact between flank and rack takes place in the engagement plane P r , which is inclined by ⁇ twr .
  • the contact point between the flank and the rack results for all angles of rotation ⁇ as the point of intersection between flank and engagement plane.
  • the toothing rotates, the rack is shifted horizontally so that it rolls without slip on the pitch circle of radius r w.
  • flank and rack remain in contact.
  • the relative position of the rack to the teeth in 3D must be considered.
  • the end cuts can be determined for any width positions and in them the point of contact between toothed rack and flank. All these points of contact in the individual end sections form a straight line (contact straight line) in the engagement plane for a rotation angle ⁇ . If one describes these points of contact via w and z from the parameterization in equation (3), one obtains a linear relationship (R1) between w, z and ⁇ . If the rack is held in space, it is possible for cylindrical gears to move them in the axial direction. This axial feed z V is typically set for the workpiece to process over the entire toothed width and set for the tool to set the diagonal ratio.
  • the toothing To ensure that the toothing continues to touch the toothed rack, usually two-sided, the toothing must be rotated in addition to the movement about its axis.
  • the amount of rotation results from the pitch of the teeth and the amount of displacement, the sense of rotation from the pitch direction.
  • the advance z V does not take place in the axial direction but is tilted relative to the latter by the cone angle ⁇ .
  • the height required for the calculation of the angle of rotation correction is calculated according to the same formula as for cylindrical gears from ⁇ w and m t .
  • the contact points in the individual end cuts are the end cuts, depending on the axial feed or feed to be considered with the appropriately corrected rotation angles.
  • (R1) is a linear relationship (R2) between w, z, z V and ⁇ .
  • the point of contact of the two teeth can be determined directly by calculating the point of intersection of the two contact straight lines.
  • the parameters z F 1 and w F 1 or z F 2 and w F 2 which describe the contact point on toothing 1 or toothing 2, depend linearly on ⁇ 1 , ⁇ 2 , z V 1 and z V 2 (R5 ). If the angles of rotation are eliminated in these relations, the sought-after contact paths (R6) follow.
  • a, usually not modified workpiece is considered first.
  • vectors are placed in the normal direction with a predetermined length.
  • the length of the vectors corresponds to the allowance of the workpiece before grinding, relative to the unmodified workpiece.
  • the allowance is typically chosen so large that each vector is truncated at least once during the simulation described below.
  • the number of points on the teeth determines the accuracy of the result. Preferably, these points are chosen equidistantly.
  • the relative position of the workpiece to the screw is given at any time, for example by the kinematic chains K r . At each of the discrete times, the intersection of all vectors with the screw is calculated.
  • a vector does not cut the screw, it will remain unchanged. However, if it cuts the screw, the intersection is calculated and the vector is shortened so far that it ends just at the intersection. Furthermore, the distance of the point of intersection from the screw axis, that is, the radius on the screw r F 1 of the point of intersection is calculated and stored as additional information to the just shortened vector.
  • the corrections of the coordinates are not changed during grinding, after the simulation has been performed on the whole width of the screw, all the vectors on a given radius of the workpiece r F 2 and a given pitch w F 2 have approximately the same length.
  • the small differences in the lengths are due to the fact that the algorithm described here causes markings, similar to the envelope cuts during hobbing, due to the discretization of the time. These markings and thus also the differences in the lengths of the vectors on a given radius of the workpiece can be reduced by a finer discretization of time, equivalent to a shortening of the time steps. If the simulation is not performed over the entire width of the workpiece, but aborted at a given axial shift position z V 2 of the workpiece, then, for a given radius on the screw, only the vectors of approximately the same length already swept by the contact path.
  • the remaining vectors either still have the originally chosen length or have already been truncated at least once, but do not yet have the final length, as they will be truncated at a later date (see FIG. 15 ).
  • This fact can be used to determine the contact path for the actual feed rates of the workpiece and the worm very accurately.
  • all vectors at a given radius on the workpiece F r 2 and w V rolling path considered and determined to which Width line position is the transition from vectors of approximately equal length to those with different lengths. Since the lingermélzgetriebe is symmetrical against swapping of workpiece and screw, can be determined in the same way, the contact path on the screw.
  • the coefficients from equation (26) or (27) can be determined from the points calculated in this way on the contact path, for example by means of a compensation calculation. If the vectors along which the contact path runs are determined, the radii previously stored thereon can be read out on the worm r F 1 and thus determined for each radius on the workpiece r F 2 , of which radius on the worm r F 1 of this was ground. These radii can be converted into Wälzwege. From these pairs of values, the coefficients from equation (32) can be determined for cylindrical workpieces and cylindrical screws, for example by means of a compensation calculation.
  • the contact path must be determined for at least two different feeds z V 1 to additionally determine the coefficients before z V 1 in equations (37), (38) and (45).
  • at least two different feed rates z V 2 must be considered if the workpiece is conical and the screw is cylindrical. If the workpiece and worm are conical, then the contact paths must be considered for at least two feeds z V 1 and at least two feeds z V 2 in order to determine all the coefficients from equations (63), (64) and (73).
  • the diagonal ratio calculated here depends on the macro geometry of the worm, in particular the number of turns, the base bevel angle, the base circle radii, the outside diameter (in the case of a conical tool at a defined z position) and possibly the cone angle. These quantities can therefore be used to influence the diagonal ratio to be set for given directions ⁇ F. This also makes it possible to extend or shorten the work area, which can be advantageous for the tool layout. Also, influencing the diagonal ratio for technological reasons may be useful.
  • the method described so far requires that the machining process be carried out with a constant predetermined diagonal ratio.
  • the diagonal ratio and the width of the workpiece including overflow determine the necessary for the processing Feed of the workpiece.
  • the feed determines the length of the part of the tool involved in the machining, also referred to as the work area.
  • the length of the working area determines, on the one hand, the minimum length of the tool or, in the case of short work areas and long tools, the number of modified areas that can be placed on the worm. In either case, it may be beneficial to extend or shorten the length of the work area.
  • One way to change the length of the work area is to change the geometry of the tool, especially the base circle radii and the base skew angle.
  • the modification is such that the course of the contact point sweeps over areas that are not modified, the parts of the worm which are currently in engagement are also not modified.
  • This allows, while sweeping this area, to freely choose the diagonal ratio.
  • the diagonal ratio can be set to 0. A reduction of the diagonal ratio, however, leads to a greater stress on the tool, which makes a technological analysis necessary. If the removal is particularly large while the unmodified area is being manufactured, then it may also be useful to increase the diagonal ratio in these areas.
  • Typical examples of modifications which consist of an unmodified region are end reductions or triangular end reductions.
  • FIG. 1 shows the example of two triangular end return division into modified (41 and 41 ') and unmodified (42, 42', 42 ") areas. While the course of the Kotaktretes (43 and 43 ') covers the area 42, just do not come In this range, the diagonal ratio can be freely selected: If an area above 43 or below 43 'is swept over, the contact point extends at least partially over a modified area However, it is also possible not to adhere to the diagonal ratio and to accept deviations If two sides are ground, then both flanks must be taken into account in this analysis Diagonal ratio can only be chosen freely, while the contact path on both flanks covers an unmodified area.
  • modifications that consist of unmodified areas and areas with mutually-differentiated modifications. If the modification is such that the course of the contact point between the modified areas sweeps over areas which are not modified, then the diagonal ratio can again be selected arbitrarily in these areas. If modified areas are swept over, the diagonal ratio must be adjusted according to the direction of the modification just swept over. The unmodified areas can be used to adjust the diagonal ratio from one modified area to the next.
  • FIG. 2 shows, by the example of two triangular end return, which run in different directions, a division into modified (51 and 51 ') and unmodified (52, 52', 52 ") regions
  • the directions ⁇ F 2 (50 and 50 ') of Modifications according to equation (1) are different for the modified regions, so that different diagonal ratios have to be set for the machining of the two regions, while the course of the Kotaktretes (53 or 53 ') covers the region 52, the diagonal ratio can be chosen freely
  • the straight lines 53 and 53 'must be at the same height or 53 above 53', but if 53 'exceeds 53, the contact point extends both over the region 51 and over the region 51', for which different ones This results in a deviation on at least one of the two areas
  • a consideration of both flanks needed If you want to ground without deviation, make sure that the areas ground on both sides at the same time require the same diagonal ratio. If this is not the case, the modification is generated with
  • F is z V 1 any continuous function that describes a relation between z V 1 and z V 2 .
  • the diagonal ratio is determined by the derivative of F z V 1 ( z V 2 ) given to z V 2 and thus generally not constant. Is F z V 1 not linear, then straight lines on the worm in the w - z diagram no longer become lines on the workpiece in the w - z diagram displayed.
  • the curve showing the course of the points in the w - describes z -diagram on the workpiece, are mapped which defined a through X F 1 Straight on the screw, by a function z F 2 (w F 2, X F 1) to be discribed.
  • FIG. 3a shows this example of a cylindrical workpiece. This can be used to F z V 1 ( z V 2 ) piecemeal from the gradients for different X F 1 fauxzupaten, or expand the definition area.
  • F Z V 1 ( z V 2 ) from a course for an X F 1 , which was continued beyond the limits of the wz diagram to determine.
  • This course is advantageously continued so far that each part of the w - z diagrams is covered by the course.
  • FIG. 3a shows how such a course can be chosen.
  • the function F z V 1 (Z V 2) are then determined from one of the four paths 60-63.
  • this calculation yields that a trace X F 1 results from passing through for another X F 1 by shifting along an excellent direction.
  • this direction is represented by the two parallel lines 65 and 66.
  • the direction of this line is independent of the geometry of the screw and thus depends only on the geometry of the workpiece.
  • conical screws can be used. On the geometry of the conical screw (r bF 1 and ⁇ bF 1) and crossed-axes angle and center distance, in particular the cone angle of this direction may be affected.
  • the change in the shape from one X F 1 to another, for both conical and cylindrical screws can be influenced by the geometry of the screw ( r bF 1 or ⁇ bF 1 , ⁇ 1 ) and the axis cross angle.
  • the relationship can no longer be easily described in this case and must be determined by the steps described above.
  • the resulting course on edge 2 is influenced by the geometry of the worm ( r bF 1 or ⁇ bF 1 , ⁇ 1 ) and axis cross angle and center distance. This influence can be used to F Z V 1 ( z V 2 ), the geometry of the worm and Achsnchwinkel and center distance to tune so that the curves on both flanks as well as possible correspond to the desired gradients.
  • a concrete application example is in FIG. 4 shown.
  • the modification is chosen to approximate the combination of a triangular end return and a end return in the flank line direction.
  • the transition between the beginning of the two redemptions is selected here as an example tangentially, whereby the curve 70 is given by a differentiable curve.
  • the value of the modification along 70 is here selected to be 0.
  • the value of the modification drops in the direction of the course 71. Since the distance between 70 and 71 in the area of the final return in the flank line direction is smaller than the distance between 70 and 71 in the area of the triangular end return, the slope of the modification in the area of the end return in the flank line direction is greater than in the area of the triangular end return.
  • the ratio of these two gradients is significantly influenced by the direction of the displacement of the gradients (75 and 76). This direction can be adjusted by the use of conical screws and by choosing a suitable geometry of the screw. Thus, the ratio between the slopes can be adjusted as desired.
  • the functions F KFt can be any continuous functions. From the functions F KFt for left and right flank, the necessary corrections of the grinding kinematics can be calculated. For example, naturally entangled crowns or distorted end reductions can be produced with this method.
  • special cases are also possible in which at least one of the functions F Ft , f PFt and F KFt is constant, in particular 0.
  • F is a modification of F added, it can also be decomposed exactly for example by means of a compensation calculation in the three terms of equation (86) is generally approximately, in individual cases.
  • the functions F Ft , f PFt and F KFt and the directions ⁇ F are determined such that the deviations between f GFT and f F are optimal, in particular minimal.
  • This deviation can, for example, at discrete points (Fi w, z Fi) or continuously over the whole w - z -diagram be calculated.
  • the continuous calculation of the deviation can, for example, by means of an integral a distance function over all values of w and z. It is also possible to calculate the deviations weighted depending on the position of the points in a w - z diagram.
  • a typical variant of the compensation calculation is the method of least squares, which uses the 2-norm as a distance function.
  • the desired modification may, for example, be given by a continuous function f F , by a point cloud ( w Fj , z Fj , f Fj ) or a combination of both.
  • the functions F Ft , f PFt and F KFt can be calculated as continuous functions using the compensation calculation. Alternatively, it is also possible to calculate the function values only at discrete points ( w Fk , z Fk ). From these discrete points, continuous functions can be calculated by interpolation.
  • the teeth are often machined in roughing and finishing cuts. These different processing steps can be performed both with the same areas on the tool as well as with different areas or with different tools.
  • the roughing cuts may be performed in whole or in part by the method described herein. However, it is also possible to perform other methods for the roughing cuts, in particular axial grinding with a diagonal ratio of zero or a very small, technologically determined diagonal ratio. Such roughing makes it possible to make better use of the roughing zone (s) on the worm, but does not produce the desired modification on the gearing. If the method described here is already used during roughing, the allowance is distributed more uniformly at the beginning of the finishing process and the sizing area is loaded more uniformly.
  • non-dressable tools can also be used as long as they have a modification according to equation (1).
  • ⁇ F the direction of constant modification given by ⁇ F or at least within certain limits, which in turn can influence the diagonal ratio during generating grinding and thus also the working range. This free choice of ⁇ F is also possible when line dressing the tool.
  • the method can also be used in other manufacturing processes that use a toothed tool and the kinematics of a ffermélzgetriebes and a Allow feed of the tool.
  • These other manufacturing processes include, for example, hobbing, peeling hobbing, scraping and honing.
  • the tools must also have a modification according to equation (1). Depending on the manufacturing process of the tool, a free choice of ⁇ F on the tool is also possible here.
  • FIG. 6 shows a naturally entangled flank line crown, as this can be generated by a mere correction of the grinding kinematics.
  • the direction along which the generated modification is constant is given by the contact path 10. With the method described here, however, this direction can be chosen freely.
  • the direction chosen so that the line with constant modification 12 parallel to the w axis.
  • the modification produced along the contact path 11 has no constant value.
  • the direction of constant modification can also be arbitrarily chosen so that one, as in FIG. 8 shown running in a targeted direction crowning can be generated.
  • Such crowns produce a purposeful entanglement and, like unconstrained flank line crowns, are free from deviations in form.
  • final returns can according to the prior art only in distorted form 16, as in FIG. 9 shown to be made by corrected grinding kinematics.
  • the line of constant modification runs along the contact path 15. However, a course of this line is desired parallel to the w axis, as 18 in FIG. 10 shows what is possible with the method described here. This results in an undistorted final return 19.
  • a variation of the end reductions are triangular end reductions 22, as in FIG FIG. 11 shown.
  • the line of constant modification 21 runs here in a deliberately predetermined direction, typically parallel to the engagement line of the toothing.
  • the final reductions and triangular final reductions shown here have linear gradients without transition areas. However, circular, logarithmic, parabolic and exponential courses, with and without a transitional area or any other form of course, are also possible here.

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DE102015000908A1 (de) * 2015-01-23 2016-07-28 Liebherr-Verzahntechnik Gmbh Verfahren und Vorrichtung zur Verzahnbearbeitung eines Werkstückes durch ein Diagonalwälzverfahren
DE102015012308A1 (de) 2015-09-23 2017-03-23 Liebherr-Verzahntechnik Gmbh Verfahren zur Herstellung eines Werkstückes mit modifizierter Verzahnungsgeometrie
JP6746940B2 (ja) * 2016-02-16 2020-08-26 株式会社ジェイテクト 歯車の歯形のシミュレーション装置及び方法並びに加工用工具の刃面のシミュレーション装置及び方法
DE102016005210A1 (de) 2016-04-28 2017-11-02 Liebherr-Verzahntechnik Gmbh Verfahren zur Verzahnbearbeitung eines Werkstückes
DE102016005258A1 (de) 2016-04-28 2017-11-02 Liebherr-Verzahntechnik Gmbh Verfahren zum Abrichten einer Schleifschnecke
DE102016005257A1 (de) 2016-04-28 2017-11-02 Liebherr-Verzahntechnik Gmbh Verfahren zur Verzahnbearbeitung eines Werkstückes
CN112191949B (zh) * 2019-07-08 2024-09-13 株式会社捷太格特 齿轮加工辅助装置以及齿轮加工装置
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US9969019B2 (en) 2018-05-15
JP2016135538A (ja) 2016-07-28
US20160214197A1 (en) 2016-07-28
KR102579178B1 (ko) 2023-09-18
DE102015000907A1 (de) 2016-07-28
KR20160091274A (ko) 2016-08-02
CN105817716A (zh) 2016-08-03
JP6185615B2 (ja) 2017-08-23
EP3050660B1 (fr) 2021-10-20

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